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Finding the Fourth Proportional to 970,648,115.30, 1,455,972,172.95 and 970,648,115.30

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Solution

The fourth proportional to 970,648,115.30, 1,455,972,172.95 and 970,648,115.30 is: 1,455,972,172.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,648,115.30 : 1,455,972,172.95 = 970,648,115.30 : x
  2. Step 2: Convert to fraction form
    970,648,115.30/1,455,972,172.95 = 970,648,115.30/x
  3. Step 3: Cross multiply
    970,648,115.30x = 1,455,972,172.95 × 970,648,115.30
  4. Step 4: Simplify right side
    970,648,115.30x = 1,413,236,645,603,163,136
  5. Step 5: Solve for x
    x = 1,413,236,645,603,163,136/970,648,115.30
  6. Step 6: Final answer
    x = 1,455,972,172.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.